Regular and Normal Spaces for certain Generalized Open Sets in Ideal Topological Spaces

Maheshwaran Rajitha and Panchadcharam Elango

Abstract

In this paper, we study four types of generalized open sets: Pre-I-open sets, Semi-I-open sets, α-I-open sets, and b-I-open sets, in ideal topological spaces and define the regular and normal spaces for these generalized open sets. We establish some of their properties and compare these regular and normal spaces.

Keywords: Generalized topological spaces, Generalized open sets, Ideal topological spaces, Regular spaces, Normal spaces

Full text:

Cite as: Rajitha, M., and Elango, P., 2023. Regular and Normal Spaces for certain Generalized Open Sets in Ideal Topological Spaces. Vavuniya Journal of Science, 2(1):34-38.